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Simplifying -12(2p + -4) = 3(p + 12) Reorder the terms: -12(-4 + 2p) = 3(p + 12) (-4 * -12 + 2p * -12) = 3(p + 12) (48 + -24p) = 3(p + 12) Reorder the terms: 48 + -24p = 3(12 + p) 48 + -24p = (12 * 3 + p * 3) 48 + -24p = (36 + 3p) Solving 48 + -24p = 36 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 48 + -24p + -3p = 36 + 3p + -3p Combine like terms: -24p + -3p = -27p 48 + -27p = 36 + 3p + -3p Combine like terms: 3p + -3p = 0 48 + -27p = 36 + 0 48 + -27p = 36 Add '-48' to each side of the equation. 48 + -48 + -27p = 36 + -48 Combine like terms: 48 + -48 = 0 0 + -27p = 36 + -48 -27p = 36 + -48 Combine like terms: 36 + -48 = -12 -27p = -12 Divide each side by '-27'. p = 0.4444444444 Simplifying p = 0.4444444444
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